A control device for a switching converter has an input terminal and an output terminal; the converter includes a half-bridge of a first and a second transistor coupled between the input terminal and a reference voltage. The control device detects a signal on the output terminal of the converter, integrates the detected signal and imposes a predefined minimum frequency of the detected signal. The control device regulates the average value of the detected signal by comparison with a reference signal and drives the first and second transistors in during the regulation. The control device turns off an integrator when the predefined minimum frequency is imposed.